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22512222450 = 23252397126013
BaseRepresentation
bin10100111101110101…
…010100000011110010
32011002220201101120200
4110331311110003302
5332101112104300
614201511020030
71424605506414
oct247565240362
964086641520
1022512222450
119602620a23
12444336a616
132179cc63b3
141137bd89b4
158bb5ad200
hex53dd540f2

22512222450 has 72 divisors (see below), whose sum is σ = 60635668548. Its totient is φ = 5988090240.

The previous prime is 22512222437. The next prime is 22512222493. The reversal of 22512222450 is 5422221522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4213437921 + 18298784529 = 64911^2 + 135273^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115644 + ... + 241656.

Almost surely, 222512222450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22512222450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30317834274).

22512222450 is an abundant number, since it is smaller than the sum of its proper divisors (38123446098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22512222450 is a wasteful number, since it uses less digits than its factorization.

22512222450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126428 (or 126420 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 22512222450 its reverse (5422221522), we get a palindrome (27934443972).

The spelling of 22512222450 in words is "twenty-two billion, five hundred twelve million, two hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 397 450 794 1191 1985 2382 3573 3970 5955 7146 9925 11910 17865 19850 29775 35730 59550 89325 126013 178650 252026 378039 630065 756078 1134117 1260130 1890195 2268234 3150325 3780390 5670585 6300650 9450975 11341170 18901950 28352925 50027161 56705850 100054322 150081483 250135805 300162966 450244449 500271610 750407415 900488898 1250679025 1500814830 2251222245 2501358050 3752037075 4502444490 7504074150 11256111225 22512222450